SOLUTION: solve the following equations (give the exact answer) and then approximate the answer by rounding to 3 decimal places. e^-4x+2 +11=25

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Question 692319: solve the following equations (give the exact answer) and then approximate the answer by rounding to 3 decimal places.
e^-4x+2 +11=25

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
solve the following equations (give the exact answer) and then approximate the answer by rounding to 3 decimal places.
e^(-4x+2) +11=25
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e^(-4x+2) = 14
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-4x+2 = ln(14)
Exact answer:
x = (ln(14) - 2)/(-4)
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Approximation:
-4x+2 = ln(14)
-4x+2 = 2.6391..
-4x = 0.6391..
x = -0.1598..
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Cheers,
Stan H.